<div class='transformable ghost'>
<h2>Move me with a matrix</h2>
<p>
Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor
incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud
exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute
irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla
pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui
officia deserunt mollit anim id est laborum.
</p>
</div>
<div id='move-me' class='transformable'>
<h2>Move me with a matrix</h2>
<p>
Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor
incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud
exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute
irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla
pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui
officia deserunt mollit anim id est laborum.
</p>
</div>
<script>
var MDN = MDN || {};
MDN.matrixArrayToCssMatrix = function (array) {
return "matrix3d(" + array.join(',') + ")";
}
MDN.multiplyMatrixAndPoint = function (matrix, point) {
//Give a simple variable name to each part of the matrix, a column and row number
var c0r0 = matrix[ 0], c1r0 = matrix[ 1], c2r0 = matrix[ 2], c3r0 = matrix[ 3];
var c0r1 = matrix[ 4], c1r1 = matrix[ 5], c2r1 = matrix[ 6], c3r1 = matrix[ 7];
var c0r2 = matrix[ 8], c1r2 = matrix[ 9], c2r2 = matrix[10], c3r2 = matrix[11];
var c0r3 = matrix[12], c1r3 = matrix[13], c2r3 = matrix[14], c3r3 = matrix[15];
//Now set some simple names for the point
var x = point[0];
var y = point[1];
var z = point[2];
var w = point[3];
//Multiply the point against each part of the 1st column, then add together
var resultX = (x * c0r0) + (y * c0r1) + (z * c0r2) + (w *...
/*
Rotation matrices start looking a little bit more complicated than scaling and transform matrices. They use trigonometric functions to perform the rotation. While this section won't break the steps down into exhaustive detail, take this example for illustration.
// Manually rotating a point about the origin without matrices
var point = [10,2];
// Calculate the distance from the origin
var distance = Math.sqrt(point[0] * point[0] + point[1] * point[1]);
// 60 degrees
var rotationInRadians = Math.PI / 3;
var transformedPoint = [
Math.cos( rotationInRadians ) * distance,
Math.sin( rotationInRadians ) * distance
];
It is possible to encode these type of steps into a matrix, and do it each of the x, y, and z dimensions. Below is the representation of a rotation about the X axis
*/
var sin = Math.sin;
var cos = Math.cos;
// NOTE: There is no perspective in these transformations, so a rotation
// at this point will only appear to only shrink the div
var a = Math.PI * 0.3; //Rotation amount
// Rotate around Z axis
var rotateZMatrix = [
cos(a), -sin(a), 0, 0,
sin(a), cos(a), 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
];
var moveMe = document.getElementById('move-me');
var matrix3dRule = MDN.matrixArrayToCssMatrix( rotateZMatrix );
moveMe.style.transform = matrix3dRule;
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